Himpunan penyelesaian dari 3^2x+2 + 8×3^x-1=0

3^2x+2 + 8.3^x -1 = 0
3^2 (3^2x) + 8.3^x - 1 = 0
9 (3^x)^2 + 8 (3^x) - 1 = 0
misal p = 3^x
maka

9 p^2 + 8p - 1 = 0
(9p - 1 ) (p + 1) = 0

9p - 1 = 0 atau p + 1 = 0
p = 1/9 p = -1

3^x = 1/9 atau 3^x = -1 (TM)
3^x = 3^(-2)
x = -2

Maka, HP = { 3 }